Combining Philosophers

All the ideas for Friedrich Schlegel, John Bigelow and Leslie H. Tharp

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24 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
Irony is consciousness of abundant chaos [Schlegel,F]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Plato has no system. Philosophy is the progression of a mind and development of thoughts [Schlegel,F]
3. Truth / B. Truthmakers / 1. For Truthmakers
Truth and falsehood must track what does or doesn't exist [Bigelow]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is either for demonstration, or for characterizing structures [Tharp]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Elementary logic is complete, but cannot capture mathematics [Tharp]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order logic isn't provable, but will express set-theory and classic problems [Tharp]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
The main quantifiers extend 'and' and 'or' to infinite domains [Tharp]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
There are at least five unorthodox quantifiers that could be used [Tharp]
5. Theory of Logic / J. Model Theory in Logic / 3. L÷wenheim-Skolem Theorems
Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp]
The L÷wenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp]
5. Theory of Logic / K. Features of Logics / 3. Soundness
Soundness would seem to be an essential requirement of a proof procedure [Tharp]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Completeness and compactness together give axiomatizability [Tharp]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
If completeness fails there is no algorithm to list the valid formulas [Tharp]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Compactness is important for major theories which have infinitely many axioms [Tharp]
Compactness blocks infinite expansion, and admits non-standard models [Tharp]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A complete logic has an effective enumeration of the valid formulas [Tharp]
Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Poetry is transcendental when it connects the ideal to the real [Schlegel,F]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
For poets free choice is supreme [Schlegel,F]
22. Metaethics / A. Value / 2. Values / e. Love
True love is ironic, in the contrast between finite limitations and the infinity of love [Schlegel,F]
23. Ethics / F. Existentialism / 3. Angst
Irony is the response to conflicts of involvement and attachment [Schlegel,F, by Pinkard]
27. Natural Reality / C. Space-Time / 2. Time / f. Presentism
I am a presentist, and all language and common sense supports my view [Bigelow]